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Finding the Fourth Proportional to 1,281.96, 1,922.72 and 502.32

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Solution

The fourth proportional to 1,281.96, 1,922.72 and 502.32 is: 753.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,281.96 : 1,922.72 = 502.32 : x
  2. Step 2: Convert to fraction form
    1,281.96/1,922.72 = 502.32/x
  3. Step 3: Cross multiply
    1,281.96x = 1,922.72 × 502.32
  4. Step 4: Simplify right side
    1,281.96x = 965,820.71
  5. Step 5: Solve for x
    x = 965,820.71/1,281.96
  6. Step 6: Final answer
    x = 753.39

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.